{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Tutorial 2b  - Tilting & De-centering Components"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "tags": [
     "nbsphinx-toctree"
    ]
   },
   "source": [
    "### June 2024"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This tutorial shows how to tilt and de-center surfaces in a lens. We will use a spot diagram to show how ray intersection on the image plane are impacted by tilt/decentering."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "\n",
    "from optiland import analysis, optic"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We start with a simple lens with all surfaces aligned."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lens = optic.Optic()\n",
    "\n",
    "# add surfaces\n",
    "lens.add_surface(index=0, radius=np.inf, thickness=np.inf)\n",
    "lens.add_surface(index=1, thickness=7, radius=19.93, is_stop=True, material=\"N-SF11\")\n",
    "lens.add_surface(index=2, thickness=21.48)\n",
    "lens.add_surface(index=3)\n",
    "\n",
    "# add aperture\n",
    "lens.set_aperture(aperture_type=\"EPD\", value=25.4)\n",
    "\n",
    "# add field\n",
    "lens.set_field_type(field_type=\"angle\")\n",
    "lens.add_field(y=0)\n",
    "\n",
    "# add wavelength\n",
    "lens.add_wavelength(value=0.587, is_primary=True)\n",
    "\n",
    "lens.draw(num_rays=10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "spot = analysis.SpotDiagram(lens)\n",
    "spot.view()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now, let's tilt the first surface by 5 degrees and redraw the lens."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lens = optic.Optic()\n",
    "\n",
    "# add surfaces\n",
    "lens.add_surface(index=0, radius=np.inf, thickness=np.inf)\n",
    "\n",
    "# == WE ADD THE TILT TO THIS SURFACE ===============\n",
    "lens.add_surface(\n",
    "    index=1,\n",
    "    thickness=7,\n",
    "    radius=19.93,\n",
    "    is_stop=True,\n",
    "    material=\"N-SF11\",\n",
    "    rx=np.radians(5.0),\n",
    ")\n",
    "# ==================================================\n",
    "\n",
    "lens.add_surface(index=2, thickness=21.48)\n",
    "lens.add_surface(index=3)\n",
    "\n",
    "# add aperture\n",
    "lens.set_aperture(aperture_type=\"EPD\", value=25.4)\n",
    "\n",
    "# add field\n",
    "lens.set_field_type(field_type=\"angle\")\n",
    "lens.add_field(y=0)\n",
    "\n",
    "# add wavelength\n",
    "lens.add_wavelength(value=0.587, is_primary=True)\n",
    "\n",
    "lens.draw(num_rays=10)\n",
    "\n",
    "spot = analysis.SpotDiagram(lens)\n",
    "spot.view()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's decenter the first surface of the lens."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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OjsYtk6Lg5GDewbg1Mow/358sZxy6O1ZWE1hGR0er4HLlypWtgaRkH6U6/M477zT16RERnXGAun3bVjWNHB8ToW4bGaLPuMk6qfzqJqQUNeBwUT2OFDdgS1YZGpp1sLUBorwcMLAl2Bzop0GYhwPs5I5++Et02pBAnBvvj3fXpuO9dUfxY3IO/n5RAqbE+5v69IisgkUFljJ9kpqa2q5gJzk5GT4+PoiIiMD999+P559/HgMGDFCB5pNPPql6Xs6ZM8ek501EdKa2bd2qKsGHdbJ1owRMQW4O6jg7ylXd1qTV4VhZo8pqHimux4GCeixNqYKUzjjb2yBOps9bgs14Pw18XSzq18EZcdHY46ELB+DSESF4ftEh3PHlLhVY/n1GPMJ9XEx9ekQWzaLeSbZv344pU6a0Xjesjbzxxhvx6aef4q9//avqdXnbbbep4ptJkybht99+g1M/2eqMiKzXpk0b1cYPkRH6bOUfsbe1UdPgcsyAu7qtplGL1OIGFWhKwLkmvRrf79dPofs426lspiGrOcDHES4a656mjPFzxUc3jFTV4/N+O4yL3t6I2zk9TtR/AsvJkyefsrWG/NX+7LPPqoOIyFrs37dPbfQwbNiwM+pb6eJgi8QgJ3UYFNc04UjRiWDzu33lqG2SYiMgzNNBZTPVek1fDaK8NSpgtcbp8bMH+OK9lunxhck5eILT40TWH1gSEfVHa9eugYODA2JjY43+tWUKfHyEHPop4GatDtkVjWqdpioOKmrAqqPV0OoAjZ0+CzqwdRpdg0A3e4tredTV9PiDFw7AnLbT4wP91PpLTo8TdR8DSyIiM5adna0KEWXteF/sCS5FPRFeGnVcEOumbqtr0uJoiWQ1G5BSVI/NWbX46ZC+p52Ho23r9LkEm5LZ9HC0s6rp8dsmReHWs6M5PU7UDQwsiYjM2Irly1Sbj/iEBJOdg7QrGhzgpA6D8rrmlsIg/TT6L4cqUdlQru4Ldrdvk9V0RIyPRmU7LXV6/P316fhxd64q7jkvIcDUp0dk1hhYEhGZqerqKrVzWGhoqGoobk48newwJsxFHULWv+dWyXpNWaupDzZ/P16DJq0UEknLIwk0NQh1bES59uTeweY+Pf7CokO486tkTo8T/QEGlkREZmrlihUqYEswYbayJ1m+EHcHdUyO1t/W2KxDRllDa6C5O68OiyuaAAxD8qoSzG3KwsxhQXBztDf76fEPbxiJ5QcL8OISTo8TnYp5/zQTEfXjhuiHDx9WO/Z4eHrCEjnY2WCAqih3xMyWlkfHcwvx/fo9KHMajKd/OYCXfjuMWYnBuGp0GIaG9N42usYInKcODsSkOF+8v47T40RdYWBJRGSGdu7Ygebm5l6pBDclVwcbRNqV4fYJXgiIisf3O7Px3c5sfLM9C0NCPHD16DCzzmLK9PgDFwzAnCR99Tinx4nas+7ut0REFmrr1i1wdHREeHg4rFWIlzPuPS8Oqx44G+/9eQQC3DQqi3n2K2vx5E/7sS9H37zdHEW3TI+/dc1wHM6vUtPjb61KRV1js6lPjcikzPNPQiKifqyoqFC1GIqNizujhuiWwt7OVjUjlyO3vE6fxdyRhW93ZGNIsLuaJr84MdjsspicHic6mfW/YxERWZjVq1ery/iBA9HfBHs64Z4psVhpyGJ6OOGZXw+2ZjH3ZutbGpnj9Pgvd09AlK+Lmh6//YudOF5SY+pTI+pz5vXnHxFRPydFOxnp6fDz84OTszP6q7ZZzLzyOvyvsyzmsGC4Odmb1/T49SOxoqV6fObbG3HrpCjcxupx6keYsSQiMiPJybtU0U50TIypT8VsBLVkMVc9eA7eb5vF/NdaPNGSxZS2TOYyPX7h4EAsvncibpoQiQ/Wp+Oit37HykMFZnOORL3JfP7UIyIibNu6Te0LHhYaaupTMTuy3eTkeH91GLKY+kxmNga3ZDFnmUkW01ljp6bHLx0RgucWHcJdXyXj3AF+eGJmAiJYPU5WjBlLIiIzUVNTg9LSEoSEhPSLoh1jZDFlLaZkMeX6s22ymHvMJIsZ5aufHn/7muFIKahS0+NvrExFbQOrx8k6mf7POiIiUjasX68upRqczjyLOSjIHVeP0WcxXTS2Jp8enxTnh/fWHcV/NqTjp905eHxGAs5P8Ff3E1kL/klMRGQmDh06CFdXV3h5eZn6VCw+i/nBdSMQ7KXPYk56ZQ2e+OkADuRVmzSLaZge//WeCWqbyLu/lurxXThWzOpxsh7MWBIRmUnvSpkKj4+PN/WpWEUW89yB/urIrzBUlGfj+105GBSUhatGh2NWYhDcnRxMNj3+n+tHYuWhQryw+BBmvv07bp0UrarHJfgksmTMWBIRmYGNv/+uLlkNblyBHk64e3Islv/fRPzrkjiEeDrj+cWHVF/Mv/+4H3uyTLMWU6a/LxgUoKrHb5kUrabHJcCUVkXmsDaU6HQxY0lEZAbS0tLg6ekJFxdWDPdWFnNCtCdmjoxCYVWDfi3mDv16zARZiykV5SbIYkqG8v7z4zAnKRgvLD6spsfPkerxixIQ6cvXAlkeZiyJiEwsPz8f9fX1CGWLoT7NYq5oWYsZ5n0ii/n4j/uxO7Osz7OGMj0u5zL/T0lIK5Tq8d/xOqvHyQIxY0lEZGKbNm5Ul1FRUaY+lX69FvP7nTlqd5/vW7KYV40OxSWJwX2WxTRMj0+M9VWN1WV6/GdWj5OFYWBpIj8m52D7sVJYE/kLv76+AY6OuXwDNDGOhWWNxb799XBziIZHTjOC3esQ5GYPH2c7jl0fZzHvmhyD28+JxobUIrV1pExNv7L0CC4aFoyrR4UiMcyzT8ZEpsf/T02Ph6hMKqfHyZIwsDQR6bd2OK8S1qapqQn29g2mPg3iWFjMWMh9hY2OyNE5Y9um4tbbHe1sEORuj2B3ewS5OahLdbjZw9/VXmXbqPezmD/sOpHFjA90U30x+yqLKUGkTI9L9fiLS/TV41Loczurx8mM2ehYftZORUWFWkBfUFgEDw8PU5+ORdFqtSgtLYW3tzdsuWuISXEsLGcslixehN27d2PatGmwd3JBflUTciubkKsuG5EnH1c2Ib+6CdqWd2s7GyDAzRBotgk63R0Q6GYPjTzATBUXFWHt2rWYPuMiJCUlWcTPRLNWh9/TivHN9iysPlwIBzsbXDQ0SBX8DO+jLKastZTp8Q9/z4C/m8aip8f5/mSZ4yDxUYC/H8rLy08ZHzFjSURk4mpwaYru6uamrkd4adTRUZNWh8JqfZCZ1xJ0ysd78+uwPK0JDc36qFPCDF8Xu5Mzne4OKttpyh1oLDmLKVPRcrTNYsqlymKqivJgeDg79Mn0+Ast0+Nnx/mqvcel8IfIXDCwJCIykbq6OlRVVXWrd6W9rY0+OHQ/OXjR6nQorW3WZzpVtlMfdKaXNmDj8WpUN56YmPJ0tG2ZYtcHmq1Bp7s9PBxtLTID1tdrMe88N0Y1M5cs5rfbs/DCksP457IjfZLFlOnx968bgVWH9c3VL357I26eGIU7zonh9DiZBQaWREQmsmvnDnUZHhZ2Rl/H1sYGvi726hga2P4+We1U2aBVU+o5ku2UTGfLdHtybi3K6rStj3V2sGmdWlfBpwo89dclCyrfh07OYhZU1qs1mIYs5sCWLOYlvZTFlKD1/IS21eMZ+Hl3Lh6fEa+qyvnHAZkSA0siIhM5ePAQHBwc4Ovr22vfQ4IMD0c7dQz0czzp/tpGbcvU+onpdQk8UzKqUVjdDEOu08EWCHJ3UBXrHafXZb2nZFT7qwB3R5XFvN2QxdyRhReXHMYrLVnMq0aFISnc+FlMJwc73HdeS/X4okO4Z8FuTIrzxZOcHicTYmBJRGQixcVF8Pf3h40JCxicHWwR7a1RR0eNzTpVTCSBZ06bQqIdObXq9qaWZKfElFKpbphabzvVLh872fePdZ22tjY4e4CfOiSL+cPObBVk9nYWM8Kn8+lxaZ3kouGveepbfMUREZnA8ePH0dzcjMDADnPXZkSqn8M8HdQBOJ9UKV1cI+s6T0yty3GwsB6r06tR13RiXaf05NQXE9nD064BJU3e6nOtPYt5R9u1mG2ymDOG6NdiGjOL2dX0+GMz4nEhp8epDzGwJCIygd27k9WlpW7jKGsMZQpcjuE4eV2nrN1U7ZKqTqztzCxvxJaKRlQ1xmLNb8WI3LoB46K9MTbaB+OifVQwZu1ZzIW7JIuZjYXJORgY4IarRodh9nDjZTE7To/f2zI9Ls3Vo/04PU69j30sO2Afy9PH3mTmg2Nh/mMx/+231H3Tpk9HfyJ9LH9b8zuCh5+DAp0ntqSXILWwWt0X7eeCsVE+OCvaB2OjveHn5miVPxNarQ4bj+r7Yq46VAh7OxuVxZQgc4QRs5jy690wPS5BrblMj5vTWPRnWvaxJCKynjd0aTMUHh6O/sjZpglnhTohKWmQul5UVY+tGaUqyJRDAi4R6++qMpkqqxnlAx/Xk9eBWmoWc1Kcnzq6ymJeMjwYnmeYxexsevynlupxTo9Tb2FgSUTUx44cOayySUFBQaY+FbMgmUmpnpZDSLC1tSXI3JhWjK+2ZqrbJega15LNHBPlDW8Xyw80Zfr/9nNicOukaJXFlL6YL/3WshZzaCCuHh1+xlnMttPjkr1U0+Ox+ubqnB4nY2NgSUTUxw7sP6AuGVh2HWxdnBisDpFXXoctGSXYml6KNUcK8fmW45A4Kz7QHWOjvFWwKYHmmWb4zCWLWSgV5S1ZzB+TczEgwLVlLWbIGf0b9dXjI7HqUAGeX3wIs+ZvxE0TonDHuaafHifrwVcSEVEfy8nJhpubG+wdLDcQ6ktBnk4qqJJD5JTVtk6drzxUgP9u1geag4LcW6bOfTA60gvuTpb5/Pq3yWJuOlqCb3Zk4eXfjuBfy1JUFlP6Yo6M8DrtLOZ5CQGYEOuL/6xPxwdSPb4nF49Nj8fUwZwepzPHwJKIqI/XV1ZXV/fb9ZXGEOLljDlJcugDzazS2tb1mUv25eGTjcdUb83BwR6tazRHhnvCErOYE+N81SFZzIW7clTbImNkMWV6/N7z4jA7KQQvLj6E+77h9Lil0el0aGxsVJcajcZs/ihgYElE1IeOHctQvwj8/P1NfSpWI8zbGWHeobh8ZKh6bjNbA81S/LInFx/9ngE7GxskBLpgfKwfzorxVRk/V0d7i8pi3nZONG6ZFHVSFnP6EFmLeXpZTJkef69lelz2POf0uOVobGzEq//+l/r4zvvuh6erC8yBVb1qnn76aTzzzDPtbouPj8ehQ4dMdk5ERG0dOnhQXQaZcWN0SyaBlQRLclw5KkwFmhnFNdhytBjrj+SrbN+Hvx9TW1AOCzVkNH0wItwLzho7WFIWU6rpZVcfKfiRau84/xNZTC8Xh9OaHv9wQwbeX5/O6XEzp9Xq8O7ao63XbWA+Y2RVgaUYMmQIVqxY0Xrd3t7q/olEZMGysrLg5OQEJ+f2O9lQ75CgSKZ2I32ccWGsK7y8vJBRUqcymlszStTU8nvr0tUuQ4mhnq1V5xJoynSxuVfTy84+t0yMwuaWNk3/XHoE/16uz2JKkDmqB1lM+ffeMyVWNWyX7CWnx81TdX0T/vbDPqw5lIvrnPS3mdNr1eqiLgkkWWlJROZKmgv7+PiY+jT6LQmypD+mHNeODVcZTWnQrgLN9BJ8tS0T76w9qgJNCS4NVedJ4V7QmOme55LFlGyjHMbIYobL9PifR2D14UJWj5uZzNIa3PVVslpX/NqVidjxyy6YG6t7haSkpCAkJERlBMaPH4958+YhIiKiy8fX19ero21necMCezmo++T5kjdpPm+mx7Ewz7Gora1BU1OTCiz766Znhn93X78+T/UzEevnoo5rx4SpKcaUgip91XlGKT7ffBxvrzkKR3tbJIV5qmzmuCgfNY1ujoGmj4sDbpkYiZvGR6gs5nc7slUWU9ZiThsSgKtGhXY7i3nuAF+Mu+ssfPT7sZa9x3Pw6PSBZ9xcne9Pp0f++Ln/273wcLLHglvGINJLgx0t951OzNLTceju46xqS8clS5ao3SxkXWVubq5ab5mdnY19+/bB3d292+syxaHDR7r8HOqcTqdFZWUV3N3dYGNjfm+4/QnHwjzHIjU1Fdu3bcPQoUPh3U+zlhXl5di9ezfGjB2HuLg4s/+Z0EpGs6gWOzMrsTOrEsnZVahqaIajvQ0Sg90wMsxdHYMCXdXWjOaopLoRiw4W4+d9Rcgur0eUjxNmD/XDjEG+KkjpDvm8N9ZmYkN6OcZEuOPByRGI9G6Zh+0hvj/1jIRpP+wpxOtrM9Vr7bmLYtS4SfHOp598rB4z9y83waGH7ct6Og6VlZVIiB/4h1s6WlVg2VFZWRkiIyPx6quv4uabb+52xlLagOTlF3Cv8B6Sv2bkOZc1TNz/1bQ4FuY5Fj//9BNSUo7gkksuga2d+ayJ6uu9wtetW4dp02dg+PDhFvcz0azV4VBeZUsfzVJsP1aK6oZmuDjYqapsmTqXrOaQYHfY25nXz55kYyULK43XVx4sUFnHnmYxZXp83m9HVNP6uRMicYfae7xnr2W+P3VfQ5NWrXeVMbt+XDj+OnVA6+uqoaEBr7/2qvr4/gceVC2HenMcJD4KCgzo33uFy5M1cOBAlSXoiqOjozo6kieZL/iekzcmPnfmgWNhfmNRUJAPZ2dn2PXjokJD8GJ4TiztZ0I+dViYlzpunhSNpmYtDuRVYstRfR/N99an49WVqSrYGh0p6zP1azSlp6adNNc0ITn3iXF+6ig2rMXckYVf9uSpNafSeH12UvApt8o8f1Cg2h1IpsZl/3Fp5/TYjHhMGxzYo+lxvj/9MRkjKaDanVWOF+YMwRUjQ9vd3/a5O93nsifj0N2vb9XvbjItnpaWhuuvv97Up0JEpN6TfH19TX0aZESSPZJqcjluPTsajc1a7M+paCkGKsXbq9PwyrIUuDnaY0ykV0vVuQ8SgtxNGmj6ujmq8715YpQ6V+mL+a/lR/DvFSkqSLx6dKgKjDsLFh0N1eNJwXhxyWH83zd7MCHGB0/MHKQCVDpzB3MrVJFOQ7MW//3LGJUNtxRWFVg+/PDDmDVrlpr+zsnJwT/+8Q/Y2dnhT3/6k6lPjYj6OZm2ksIdT0/L2wGGus/BzlZVkMtx+zn6qcy92eWtW1C+tjIV9U1atUZO9jcfG+WDs2J8MDDATVV39zX5nuNjfdUhGbKFyVJRnq0ykTF+rqrxeldZzHBvF7x77Qisaaken/3ORswdH4k7z42xqObz5mbJvjw8tnAfYvzdMP9PSQj2PL21rKZib2394SSILC4uhr+/PyZNmoTNmzerj4mITCk9Xd/M2Nvb29SnQn1IKsdHRXqrQwIuCTT3ZJWrim0JNCVDKLd5OTuoQNOwBWWcf98HmpLFvGVStGottEV6fG7P7lYWc3K8P8bH+LSbHn90erzqpcnm6j1bA/vW6jTV7mrmsCC8MHuIRTTtt+rAcsGCBaY+BSKiTh07dlxdciq8f5NAc3SUtzpkOrm+sRnJWeWtU+cvLz2MxmYdvF0c1JS5WqMZ5aOmmPsqSFNZzBhfdXTMYkb7ueDqUWGYMyKkXRaz4/T4/d9yerwnqlqanq88VICHLhiAW8+Ostig3KoCS0vy3tqjWHW4ENZEGgw0Nzer5QeW+gNhLTgW5jcWZaVNaG5KwIEtlfBwrIabxg7ujrYnDsN1jS3cHG3hZIY9Esn4JCAzbCspahuakZxZpqq3Jdh8cfFhNGl18HPTqGlz1Ucz2gfRvi598rPdWRZTMpgqiyl7lI8KU5lWw7lwerznMktqcOdXu5BTXqeeuynxlj3LylE2kUAPRwwIcIO1/QJtaKiHRuPIYMbEOBbmNxZppTVodrBVQcLx8kZU1Nejql6LqgYtOuv5prGzgZvGFh6OturS3bFNICrBp7rPTgWhhsfIddkxhiyXTH0a1jyKmoYm7Dquz2jK8dyifNXyyN/dEeNap859EOHj3Ks/622zmCXVDVjYUlH+657trVnM2Ukh8HHVtJse//D3DLy/rv30OJ2w6Wgx7v9mDzydHfDtreMQZwVxAQNLE7l0RKg6rIn0xCotLVVryNhCwrQ4FuY3Fh8fW4HAwECcNX5Yu/slSKhp1KKyQYvKesPR3HpdAs+K+mYVhBbVNOnvb9CiuqHzXTAc7WzaZELt2gSh+kyoCkY1JwJU95brDEjNk2yhODHOVx2GKdOdx8tat6BcvC8PWp0+WaEqzqO8cVa0D8K8ey/QlODx5klRuGlipOrlKQFmaxZTrcXUZzElG3v35FhcMjwY81qmxyXYfGJGPLz7efSh0+nw5dZMtWxA/kB47arh3d5y09z186ElIup9TU2Najq8s928pOWMPhtpB/Rgsy8JSKvaBJ9tg1F98NncGoTmVUlA2qweV9PY+Z4Yzvb6gFSm6A1BaNvgU39p2/4xGluT92bsb6Rt0TkD/NQhquqaVJN2maaWIO/XPbkq0AzxdGqdNpcj1MvZ6OcigatUtMvRLov5yXZE+bqoAHNOUoiaHn/n2hFYe0Q/PT7n3c24akQAHpjqDnfnnjX1tgYNTVo8u+ig2m7zxvER+OvUgWbXTP9MMLAkIuplRYX69dTG3CZWAjpPJzt19ERTm4BUBaMtwachGJXMaEVLcJpT0dh6X11T5wGpq4MN3DoEnrJetOMUvSFr2tigU4EPGYebk72adpZDVNQ26gPNdP0azZ9250L215MMpmQzDYGmsVvYtM1iSmulb7Zn4dUVKeqQLOZVo8NUMPzr3RPw4YZ0vLcuHSuOlOHRGfGY0Y+qx4ur6nHvgt3Yk12OF+cMweUdmp5bAwaWRES9rLCouHU3MFOzt7WBl5OdOoDuT71JpbIhK6qfnteqILRdprRBi9LaZhwva2x9TEPzyVGkDUZh0ZIixOzcpgIeyaaF+zgjzMtZXfd3czRJT0dr4OHsgPMSAtQhymoMgaZ+jabstiNkTaZ+6lxfeR7oYZxAUwJEQ/AqWcwfk3NUkNk2i3nN6DCcG+WCdzbl44Fv9+DbGB88OTMBsf6Wv77wVA60ND2X3Zo+/8sYjLCgpuc9wcCSiKiXlZWVGj1j2ddkDaaPiz18XHr2edIM/ESGVIucojLs2H8YgeGD0aBxRGpBFdYcKURJdWO7ljyhXk6tgaYcMp1q+FgKHah7ZN3eBYMC1CEk2GsbaMp0rJCgz9BDU4JNKQ4yRhbzpolR+MsEfRbz2zZZzHNjvXDD+GgVaMr0+CXzN6m9x++y0urxxS1NzyV4fudPSQiysKbnPWF9o0dEZGaqq6qg0Whg0w8LqRztbdXh2xKQhtjbo/pwEaYPdUNSUmLr46rrm5BdVous0lpktVxmltZix/EyNZ1b09Dc+lh3J/t2Qac6Wq5L9tMSm0r3FQn2pg4OVIdhatawK5BhClvIrjuGfc5lCl3aDhkji/l3tRYzGwu2HseNn+1UAe0VI0JR1dCE/24+3lo9bi3T41qtDm+sSlVT/xcn6pueOzlY9+uTgSURUS+rra2Fs7PxiyesiWSpBga6q6OzCtrSmsbWgNNwZJfWYtWhQuSU16qpegN/N40+yGwbcHo6wd22Ae4eWmj6YYDfFQkYZwwNUocorJRAU18ItOloCb7epg80BwS4tgaHsvuOoa1QT8nnSQZzdoI7UitsVMb0rTVp6r5Jcb4or21S0+PfRPvgqYste3q8qr4Jf/1+r+pZ/fCFA3DLJMttet4TDCyJiHpZY2MjA8szIL+MJSCRIzHUs9MK+YLKemSV1pwIPFuC0O0ZpcivrFcFLMLOxgbBHabZ22Y8pRF5f/jl3xWZAp85LFgdIr+irjWjuS6lCF9syVS3xwe6tQaa0lqop8sT5DlWrZFifFUW8ydZi7kjC+lFNQhwd8ShvErMkunx8ZG4a3KMqoa3JMdLanDXV7uQW16P964d0Vpc1R9Y1kgREVkgaTXEwLL3SIW8VDnLMSaq8/YumSXVOJRViPJGe2SX16mgU4KXFYcKVIGLgZODbfugs0MA6u7Uv9Z3SlHPrMRgdYjc8rrW9ZmSiZPpa4nDEwLdW9doSqDZk+dJZTEnRqk1lttkOn5HFn7bl6f+GPhkYwa+35WNp2Ym4KKhQRYR9G9KK1Y9O1XT89vGWnTW9XQwsCQi6kW1tTXq0tmlh1UvZDRSDBTt5wovu4ZONw2QXpAdp9kl+ynB0/eltahtPNGM3tO5ZX2nj8tJQadMt0tTcGsmwbv0ppRDyHMlU+eyz/myA/n4dNMxSEH/oGCP1n3OZepc2iJ1K4spazplLeaMBJXF/GLrcWSV1uHB7/bi9ZWpmDdnCEZH6be/NDeyZOPzLcfx0m9HMD7aB69eldgvC80YWBIR9aKCAn0PSxdmLM2WBD0JQe7q6CxYkEpqQzFR22n2ZTkVKoMnvUENZBr3RCV7+6ynZP+sraG8/t8aistGhKrnSp4Xwz7ni/bm4ePfj6l/85BgdxUwSlZzRJhHj7KYUsX+5qo0NSX/54/1W0j+ddpATBnobzYZTMmKP/PrQfxvZ7ZaQyprKq2p6XlPMLAkIupFxcVF6tKFGUuLJIGLFLjIMTz85L6D0pNQ1nC2zXZKAJpZUquKX6QYpm3LJsn4GQLNti2U5PB2cTCbQOl0yLmH+7io44qR+kDzeElt69S5ZCA/3JCheqkmBLpgQqy/WmM5IsJTbV3Z1dccE+WDz2/yQV5FLZ786SDWpxThzi+T4eeqwdwJESqoPZOq9TNVVFWPe77ejX055Xjp0iFWt11zrwSWDz74YI+/8BNPPAEfH/NMVxMR9RXZJ1y4urqa+lSoF0hWSlocyTEu+uT76xqbkV0mazpr2k2378upwG/781FR19T6WBeNnQo6QztkOg3N4y2tv6MEhZG+LuqQnXck0EwvrsHmtGJsSMnH97ty8MGGDBVwDwv11K/RjPJWjcM7a8kT5OGM/1w/Uj2Xf/thH7YfK8O/V6SqKfILZY/yUWHqa/Rlc/39OdL0fJcqIPvipjFI6uSPj/6mW6/S119/HePHj1d92Lpjw4YNuOeeexhYElG/V1VZpS4dHU2XUSHTkQAp1t9VHZ2RLRhPXt9Zi41pxepSGswbSEazq6KiEE9ntZbU3ANN6Y8Z5eOMaXGuaieq9GKZOte3N1qwLRPvrj2qAs2kMK/Wvc6TwjzbrV0N83bBlzePVVXqMv2cUybPVwmW7MtHpI8LrhwlU/MhvZ7FXLw3D4/9uA9x0vT82iSj7V5k6br958/ChQsREKDv3P9HLHl3CSIiY6quroKdnV2/bI5O3duCcbAcwSevO5QMX2GVfn1n+zZKNdiTVY68inqVKRMygx7k0XUbJVn7aW7bZEqgGRfgpo4/j41QzcRTC6ta9zn/cksm5q85qgJmCS4lyDwr2geJYZ7qNtl7fMm9E/HR7xl4b91RFXj7umlUQ3I5ZLeh3shitm16LtXyz88ebJKm5zpDD60OH1tEYPnJJ5/A0/Pk3mFdef/99xEYqO/qT0TUn9XV1anAkuh0Ai8JCOUY2cm+0o3NWuS1tE5qm/VML6rG+tQiFFU1tD5WsoAyXd9VxtPL2fTrOyX4MzTJv/4sfaB5pKAKm4/KrkAl+GzTMby1Ok21hBoR7tW6K9DNE6NwyfBgzFtyGMsPFmBUhJe6X9ohzf1sh1GzmNJB4OHv96ptSB+ZOkB9b1M8b7uOl+G15YcwuOW6LKnwN5NZkW4FljfeeGOPvui11157uudDRGRV6uvr2cOSeoWDnW1rsUxnahtkfWebavaWADQ5sxy/7slTO8MYuDranSgm6iTraYptMiXQNFTrS3W4ZGel9+jWlmIgKQSS9ZXODrYYFeGtps5HR3rhy62Zqu2RBKePz4jHz3ty8ebqNJVlPD8hANeMPr0s5rFifdNzyRS//+cROHdg3zc9TymowmsrUrDyUCEGBZx4XzGntkZntBK4qqoKWu2J9R/Cw+OP2wgQEfWnXXe4PIhMQYJBw1RzRzJ1KtsnGqbWpYrdkPWUbJwEpG23yfR11bRvodQmAA3ydFJBbm9TbYtCPNQhrYikIv9gXmVL1XmpmpqWPeUl0Az1csLnm4/jx+QcPDY9Ho9Pj1d7zn+7I0tlMSN8nHHlqDCVxfTrRhZT1rze/+1ueLto8O1t47pcM9tbZDzeXp2m/j0hXs545fJhmBrvg9dfWw9z0+PAMj09XRXmrFmzRk3xtH2RSjpYdpggIiI9eU+0t7esal6yfvL72svFQR1DQ05OCMk0dGFVfftsZ8ux43gZ8irqTmyTaWuDIA/H1qn2jm2UZO/23pgulop8qSaX45ZJ0SrQlCpttUYzo0S1gZI95v/6wz411X/ZyBC8fNlQlcn9bme2mlZ/syWLefXoMLV+s2MWs13T8xgfvHZloloX21dKqhvw/rp0fLn1ODycHPD3ixJw1agwtca0oeHEUgdz0uN3u+uuu0490R9//LFaR2nqNRlEROYeWHKNJVkaCbCkylkO2Tmns4bguZ2s75Sp2tWHC1VAZ+Bor2/J1HaHIm9NM+LD7BDh42q0QE0CTek1Ksdt50SrNah7syvw7fZMLNmfr5q1y+HuaIcx0T6465wYVNY3Ys3hIvylkyym/Buf/vUgvt+ZjZuk6fnUgX3W4L66vgmfbDyGjzdmqOt3nhuj9k23hJZTPT7D3bt3Y8eOHYiPj++dMyIisiLyhzgDS7I2kjEz9KjsjKzflOnbjhXtsovOjyW1qGmU2c2j6rEeTvZdFBXJtpmnv02mTM9L0ZMcz14yBB9uSMe7a9MhhfTHi2uwIaUIDc06eDjZqbWZ0tpJMphvrEzFpDhfZJbWqAbvkuU0bGHZ2xqatPhme5Zqu1RR14jrxkXgtrOj1U5ElqLHgeWYMWOQmZnJwJKIqBsYWFJ/5OZoj/hAd3V0lsVPzylElc4ROeUtuxa1BKFSlJJT3n59p79sk9lJQZE0jpcWS93JIkogfNfkWBUgvvTbYSw9UKCCyctHhCKnvE6t05TCIPm+kmFde6QIcga+rg7Ir6hTOyjJefSWZq0Ov+7NVUGtZILlPO+dEqvWU1qaHgeWH374Ie644w5kZ2dj6NChcHBon8JOTEw05vkREVmspiZ91S0DS6ITZAmd9JyM8fZEUoRtp0GWBHMdp9nlkLZDBZX1res7ZXtItU1mF22UpOio7ZI9CdTevCYJG1KL8NyiQ3jy5wO44awIvPvnEeprvbf2KD5Yn65aGkn2sLi6Ea+uSMVrK1IxKNgd146NwGVJwbAzUrGSTqdTQey/V6TgSH6V6r35wXUjOy24strAsrCwEGlpafjLX/7SepsMGot3iIjaq62tVZcMLIm6TzKQEgDKMbaT+yXg66yN0oHcSiw/UICy2hPrO6VC/ETA2b6o6Oubx+K7nfpp51/25KoiIOl9KT0xn7tksAped2WWYe2RQiw/WKi+/hM/7cdTP+/HgAA3XDI8BBcM8ld9Mk+n3mTHsVL8e3mKKoaSfpzf3DrWKraE7HFgedNNN2HEiBH4+uuvWbxDRHQKhs4ZDCyJjEemtaP9XNXRVRNzQ6Yzs+TEHu2bjharj+saT7RJlGpxCTKlR6UElZJJHRnhqaajpeBoQqyvOh6bkYCqukZ8uyMbP+zKUdnFV5YdUYdU1k+K9cVZMT6qP6a0ZDpVbHQ4v1JlQKXIaVCQu9r//Ow4X6uJp3ocWB47dgw///wz4uLieueMiIisqDm64HaORH3Hzcm+tbF6RzK7Wlx9YpvMvdnl+H5XDmRJpxQRSTX7078can18oIdj63pOwzT7Py5OUA3JpZr8622Zao3m0gP5WLQ3T63LlKn5cdHeGBulDzTlc4R8v7dWp6p+mvK1/n3FMFw0NKjHjdqlFdTO42X4ZXcmDCswq+ob4aPRWGZged5556nKcAaWZ+bZXw9iYXIOrIpO/tPBBjaQ/8iEOBZmQTaQaGoaga8328Jua6bKSEhSwk4Ni/5j25ZD7lMft+z7bNty3fCxDKP+sZ18Xst9Nm2v2+q/x4nHyde2abm9/dfSn5P+e5z8vfWf1/F7ymPVv6Pj+XT8noavpb6nDaqrmpDe7I2t2fUodS5U056ytk0u234sFb0dbztxaXvS55jbPthknuT1Kq2E5Kiub1bZR1mH+e1tIxDj54qa+ia1P/l/txxXRTxDQzzVdLpkNH9PLVZ7t7fdJjPYwwnDQj1QWdekpua1Op0KXrdnlOLH5Fz1OAk0XTR2yCiqVq2VnpyZgCtH6ntR9oQUF/26J1cFsBLMhnk44MKW+9wcLXjnnVmzZuGBBx7A3r17MWzYsJOKdy655BJjnp/VkgW6XbVpsFTyw1RTUwMXl9Nbb0LGw7EwD0VFRUhO3oXw8Ah4eHmqNVvS6kTXMkZaw3V1qYNM0LV+3Ho7oJU/E1of2+Hz0OGx6hcb0KSV27RtHqfPdMj3bvu41q/V8j2aW77Hie996nNtd5/62ifO50Rdb0exWLOlHNiyy2jPtbzMJcDUB5wnB55yaQMtNPb2qt9hx4C1XfB6yvvbB7z2dicHvYb7JfA4OTg+8bVPOke7E+fd6f0t/66235M/3z0nr9nPNh3Hy0sPY2KsL15t0/TcxdEej0wbiD+PC8dLS49g6f58tf7x2UsGqz3M6xqbO22j1KytVQFoVX2z2vJRyMjIH0gyrW4gGdEP1qVjT1Y5Jsb6qcym9Artinz9RXtz1Racsm+6TN1PHxqIWcOCMTTIBa+/tgnmxkYnz3AP2J5iSscaincqKirg6emJgsIibk95GtmZ0tJSeHt7n/J1Qr2PY2Eejhw5jB++/x5jx45FaFhYvwsCDEFn22C2uKgY6zf8jinnX4hBQ4aoCuAmra71UnZP6Xhbc8shDa8NH3e8X32utuX+5o63679udU0t7DUadS6t97d5bLNkmDu5XX954rw6+96G+6VdTdtz7G2SqG0XeNqdnOE9Eai2D5jbBbwdgtr2wfPJgXZr8Nw20O4kyO7se8k519ZUwdvDAw72dp2cS9fn2vpHwmn+LEnhzz9+OaAylTdPjMJDFw44ZbsiyVI+u+igykZePy5CtQCSqfaulNc24mhhleqXKZXnhq5JkrFsaGpWf/B1JPdF+LioHZAk0JWp8+SsMizZl6+mvKVC/YKEAFycGKzuN2Q6ZeedV//9L/Xxgw89DE0Pp8J7+ntC4qMAfz+Ul5efMj7qccay497gRER06vfL/rrGUn75y3R5m1vgZG8DjU0z3B1tu7VHsyX/sWUIrPVBprZDENt5UKxua+54v7bngXaz9hTfq30Qbbhdgq52AfpJQf+J82l7f2fn1tvsOg1y2wahHYJhO+leA6QXV6v9xAcEuKpdgu7+OrmTzHL7IPvcAX44kFuBL7YcV3uNnx3nhyHB7nCwb/89ZKnHnqxyLD9YoAJM2SJStotMLazC+tQiZJc1w8fVASPCvNSMZWlNA1IKqpFbrt+xSKa6/7czu92/UQqBEkM91ONLquvx854ctUY0vbAa+7JKManlsfWNzTCTJZY9DyyJiIio+4G1BAgatfK1f5CAujX47SS4bWxqRklpGVzc3KGFTYf7W4LbDsH1Sfe3ySy3D3I7z3gXVNRhQ1qxSp9PiPGFu5N96/2yd3jn36t9UO/rpkFZTaMq1FlxqAAa1cvyRHDdcf53U3qJOtoqqW7EysOF3Xoe5XtKplSOztijGZOczS/pd1qB5bZt27B69WoUFBSc9I959dVXjXVuREREZIEBtZrOtgM6y0lL3OCKOnh7u/VJ9lh6VP79x/2ID3TD239KOuWaxu6Q6fHnFh9U2z1OHRSA7LI67Mkux9goLzxwwQAMDvZok51unxmuqG3CmiMFqjJcPl9iUUnqezjbw1Vjh+p6Laobmk65jEL+UJHCIqc20wGyltNiA8sXX3wRTzzxhNrSsWMfy/62foiI6NRa3hN7tpSdiIxAArlXV6Tgww0ZmJMUjGdnDT7tfcfbmhjni1cuH4ZH/rcXS/bnq0DvunFhuGJEKIprGrFkX56qHpdtIItaLmWbStkxqO1WlW2V1zapQ94xpEo9IcgNQ0I81baTUjQke4WXVDdgS0YJtqSXYmt6CXJLq2DoN9Sg1cHFUgPLN954Ax9//DHmzp3bO2dERGQlDNu+SdEKEfWdyrpGPPTdXrW28dFpAzF3QmSPk1+ybvFEgFiPgqp6HC2sxrqUIpVtlKlwd0d7VNU34YstWeow8HS2VxXc8qNfXNOgWhtJAOruaKcatMsSATmbgYFuarcd2clHvseqQ4Wq+ju9uAajo3wQH+TemmEN8nTC7OEh6hDHCivw9Yf6zgouGvNZ2djjM5G09cSJE3vnbIiIrIidbUt2hIElUZ9JL6rGXV8lo7CqXu27ffYAv3brPyUzKPcVVeqDxaLKBnVdHZVyNKggr6Kuqd3XlbhUfpSlWEem1WULSGmgLkVokk38fmc28irqVLAoxTvHStqvjfRz0yApzBOJYZ4YHuaJISEeJwWE958fh91Z5fhmexbeW3cUb61Ow5R4f1w1KhST4vzaVbBLf0xz1OPAUnpYzp8/H6+//nrvnBERkZWwb+nza04L64mskVS0S7X08oP5eHV5imrhM3t4sKrQlt1xWqelq06ejnZztFdBX4C7PkiUHXvkUq7Lusf1KcWqGluCutvPjsH1Z0XAWWOnptrTCquwLaMU2zJKUFbToLoAHMqrUl/X390RFw0JwJgoHxVMdmdtp2RVJYMpx2PT49X60AXbs3DbF7sQ6uWEK0aG4fKRIWe8TtSsAsuHH34YM2fORGxsLAYPHnxSg/QffvgBpiaB7yuvvIK8vDwMHz4cb731luojR0TUlwzvjwwsiXpOsouyo03b6WiVUWwJECXjqM80Nqhq7bbqm7RYeqAA/m4a+Ls5YkCgOybEalSwJ9fbBpISJHY2Df7V1kzM+y1dVY3fcFYELk0KUVPU7649qvpMSmax7b7jsjbyvAQfXJDgjyX7C1T1+P7cSlw+Kuy0AkFp2v7ncRG4dmx4axbz/fVH8fYafRbz8uEBsIrA8r777lMV4VOmTIGvr/ltmv7NN9/gwQcfxHvvvYdx48apzOq0adNw+PBhBASY5yAQkXVyctL/MmFgSXSC9NiUYDCntgLF1Y0tU9AtwWLb4LGyXgWIbUkm0hAYSpAY6+8GbxcHbEgtxs7MMlyaFKwqsyVgPFXj81Odm1Rsv7kqVRXbyHS3j4uD2kbxPxsy1GNkhx2p2pbMZ4inkwo4Lx0ZgnDvE+UzM4YFY2Oavrn6pe9uxnXjwlVzdXennm+92DaL+fiMePy8W5/FvHfBblzfUrxT29jU4wbpZhNYfvbZZ/j+++9V1tIcSbujW2+9FX/5y1/UdQkwFy1apAqOHn30UVOfHhH1I46O+mYrDCypP5Ailo6BoaEq2rB+Ua7LesS2k9GSn/Jx0bQGi1G+rmr62HBdZR1bMo2uju3DFgn+7vk6WTUXl0rtS4YH9/i8ZavTo0VV+HpblgraZG2lhKRyjkfyK9Ue4hKoynaOJTWN8HCyx6zhIZiVGKzWWnaVYJsQ64uf75qAzzYdwztrj6rg9K/TBuKSxODTTspJYGrIYu7MKMLyBfriHdkByVz0OLD08fFR0+DmSLY32rFjBx577LF2xUYXXHABNm0yv/00iah/ZCybmtoXARBZCllHKDvEtA0WDQGivvBFHzTKddnRpi3ptdg2MBwV6a2CQ19XBzjbNCI6yAcBHk6qlc7p9GGU3pF3f5WsPv7i5jFIDPXs1ucVV9WrqWU5ZKec5Kzy1nN3drBT08xJ4Z7q37TlaLGazpYq7+lDgjArMQijImT3pu4Fhhp7W9x6drQKQl9aehh//X4fvt2ehSdnDlJrOU+XBKaSTV3ecl223bTYwPLpp5/GP/7xD3zyySdwcTGXrkl6RUVFaq9y6a/Zllw/dOhQp59TX1+vjrZ7YRoyDMwy9Iw8X2oLMz5vJsexMC/yviTjQfp1c4bLvnx98meiPVk3qLKLVfoKaMNUdNvrcik7xTR3eO1KGx1/d8kwOqqCEqlwlusSNEoQKbdLIOnmaNdpZk7GoKysDF5eJxqk93RcpKjliZ8OYlCwO968OlGtl+zsa8hayQO5ldidLUFkhQpGpaG54d8h316CyihfF9xxdhRqG7X4dW8eXluRCid7WxVkSqV22z26JZcpWc6eCHDX4NUrhuGKESF4YclhXPbuZlw7Nqxlevz0WgW1/feeTszS05+J7j6ux/+aN998E2lpaSpYi4qKOql4Z+fOnbAk8+bNwzPPPHPS7fKil18G1H06nRaVlVINp4ONjfn89dQfcSzMh7u7PitRV1dndmvSTUHeV93c3NQMk+zd3Vf6w8+EtqWVTklNE4qqG9W0rbqsbkRRjf5S1jRKE+/qhvZBguyXLWsJfV3sVUYx3s8REyLd1MfqkPtcHeDjYt+N7GIDmmobUFZr/LGQDOp7G7Px5Y58XDTIF4+cFwGHphqUltaof39mWT0O5FVjf161ukwpqkGzFtDY2SAhwAVnR3sgyMMP249XYEN6BcI8NTg/KQA5ZXX4+88H1Pz3mAgPPDk1CufEeqmqcFFdWY5qnLlBPrb45Jp4fLOrAJ9szcaivbm4e1IYpif49Pj9obGxsV3M0jEe+yM9HYfKysreCSznzJkDc+Xn5wc7Ozvk5+e3u12uBwUFdfo5Mm0uxT5tM5bh4eHw8vKCh4dHr5+zNdH/NWOjnru+2KaLusaxMB81NTUqiJJpcQaWQHVVFaqqqlShgbe3d599X0v+mZCsW1G1TEM3dJplNKxjlHY7HbcClPWAhmKXUB83DI/QZxYN6xfVpZujmurtq9fn6Y5FRW0j/vb9PvyeVoy/TRuASxKDsDe7EruzSlQmcm92RWvvyWhfF9Xi58rR4SqjKr0lS2sa8e7adLy1LgtuTvZIDPVASkE1vksuUP0lH5sWj2lDAlTGtbfde6EvrhwbjZeXpeC5ZRlYfKgMT14Urxqid5e8rxjIc9nT4p2ejoPEV70SWMo0uLmSJ3XUqFFYuXJlawAsT5xcv+eee7pcXG9YYN+WPMmW9uZjDuSNic+deeBYmAd5M5Y1ljIeDCxPbP1reH32158JQ6Puk4td2jftluvyuLakQbev24mp58HB7vAb4NduPaOajnbTGGULQ3MYi8N5lbj9y50q6zomylsV2ry8NEXdJ1XhEjzK7jpyKWsPPZ0d2u3CM3/NUXyy8Zi6rrG3U89pdUMzbj8nGhcPC0K4T98v7QvxdsEbVw/HJlU9fgiXf7BVFeX833ndqx5v+9yd7uu6J+PQ3a9vPnsAGYlkH2+88UaMHj1a9a6UdkPV1dWtVeJERH3Jzt6exTv9sFF32yrojlXRhusdG3W7Oupb6ajD3VFl2eRS32/xRGW0fm2g9f6RIkG3bJloKK7ZkFqk+kcapuzrG7WYPNBfBZFyhHk7d/pHm1Rxv7EyFV9uzVTjIs+2PJdSSCNFOFI8Yw5/7I2P9cVPd43HfzcfUwGw7DX+yNSBqsG7OZxfT9l3txL8yJEjaqq5OyIiIrB+/XpERkair1199dUoLCzEU089pRqkJyUl4bfffjupoIeIqK9mUrhe2/IDHWml075Rd+fBo0y3tiXxnzTONmQR4wLcMD7Gp900tOFjc9rvuS9Jc3OZypYgUgWT2eWtDc8lGynPaZy/K56cmYCREd5timg6d7ykBv9adgQrDxWqpQESjF6cGISrRoVhdGT3K7r7ksbeFrdMkuxpMF5eegR/+0FfPf7UxWdWPW4K3XoVy6LQJUuWwNOzm6X8xcUmfSOVae+upr6JiPqSLLVpbLMWisyHNMOW7GL7rKJhHWP7pt1td1gxNMlu3cXF3bGl1+GJdYuGXV2klc7pNOq2VpI5PJhbjs0pBUgpyVbrIjNaspGSiZV1kdePi8CgIHdV+b1kfz5unRSlmp6f6nmUlki/7cvH51uOI62wunUv7dvPicLlI8L+MBg1F0GeTnjtqkS1N/hziw/h0nc3qb6V902JVTvxWIJu/3kk08tERNQzri4uKK7tojyWekW1atStDxbVekVZt1hRj+ziSlQ0ZLQUwtSjpKYBbTvpyKyjZMgM09HSgkbW83Vs1C0Bo+wvTX+c6c0qq8XuzBM9Iw/kVargUtaJytrQs+P8cPdk/ZR2hI9+Sju/ok41PT+cX4V/XTFMTV131TJp1eEC/LInD+tSilTFuBgQ4IanLx6E0VF9VxzWG9PjP955Ynp8cUtzdUuYHu/WTwb7fhERnR5XNze1PEfb3KzWW9Lpkb6BEgiqxtwd943uMD3dsVG3ZKskKPR2tkOQpwtGRni1yyoagsbTbdRNJ6q2JQOpDyLLVO9IKbYR4d7OGB7uiZmJQRgW4oEgxyYE+vueVBAiweddXyerJQRf3jxGFeK01disVVslSq/JFQcL1Fi7O9qroHJQkBsenZ6As2J8YA00nUyPy37h/zDz6XG+yxER9SJ3N/fWtkPubGHWaYHFSVXRbdYt6quk9dsAGjJSBl4qu6hfpxji5YzhYV7tq6JbAkZpQC3ZM+mbKS2OzKEq3NJJgHckv6o1EymXR4uqW1scyS4417S0+pHpbQna2yarOuth+mNyDp78+QCGSNPza5JU4C9k7HZlluNXNTWep4JVCVSlObu0C5JxnnfpEFwwKMDss3lnND0+OhTPLWqZHh8bgTvPDoc5YmBJRNSLfH19rTawlIbUdU06tVtJTaPhUovaRp261B861Da13N6gQ3lNHXLq47F0WTEqF69CZUvfQQMptGjbZ3FoqOdJVdFyKQUxPVk3x52PTp88dznlde2CyP05FahvmdKW3ouSJZTWPRJERvm49KhARv5g+NfyI/j492O4bEQInpk1WI1takGVWmcph+yWE+jhiKmDAlXmWrKV8rp4Yc4QzBkebFZbGvaW8TH66fHPNx/H22vSsHRvNmbC/DCwJCLqRX7+/upS2p6ZS5DQ0CzBXkvw16APBA3BX9sA8cTHbYJGw+c1alHXqFMtXLoiu524ONioQhdne1v1sb0OcLVpwKAgDQbHhLULFiV4lAIOa8w6WZKquibszdYHkPqtEMtVBlnot3D0wrTBgSqIlHWSTmfQK1Omzx/8bo9qev74jHhcOCgAn206pqa6D+VVquzn9CGBamvFHcfL8MWW43Cyt1PteP48Ntxs+3T2Fgm4b54UparcX15yADiqv728thH+PWyQbvLAMicnByEhIb17NkREVsbQpq32DAt4pG2KIcjTZwW7zhK2Df5qO3lMh/aJ7UiiyVUCQQcJCuVS/7Gboy0C3OzhbK+/3aXDYwwBpEubjyWb1VFxURHWrk3H9MRBSEqKPqPnhIxTGZ9SoJ/SNmQk04qqVVGTFCjJ7jRXjAxtndI25q406UXVuOvr3Siursd14yKw/EABXlxyGI4te3TLPtpjIr3xzY4stb5Qpt/njo/ELZOiutVA3JoFejjhpUuH4tV//6auSwBuLrp9JkOGDMH8+fNx7bXX9u4Z9ROyXqi6wbqaJuu0OpSX16MatbBhew2T4liY11hUaDVoKq2HfVH9yUHgSdcNH+uziIYAUrKMXZERdmoJ8lSg1xL8SXDn7WQI+NoHgfrHtQSHmhMZRckyMmNovfLK65AshTUtQaRMactrTFr5xAe6qUpqyYhJIBnt69prPR/Xppbi6aXpsLO1VVXikomcEOOLly8bigsSAuDkYIvvd+Xg4vkb1e/Lq0eH4c5zY1Rmm05mTj+z3Q4sX3jhBdx+++1YuHAh3n//fdU0nU7fqytS8N2ObFOfBhH1iRigGMCxvC6nig2ZPrn0c7GHs+ZE8NdpUNgmM+hkbwNbM/rFQubTdmlfjqFKW5+RlMIoQ49HyUDeOyVOBZFDQjzgrLHr9eyoVHS/tjIVB3Ir1W1DQ1wxOykYFw0NUtlQqf5feiAfr69MVf0tZcr3/86LQ4QJtlykXg4s77rrLsyYMQM333wzBg8ejP/85z+YNWvWaX5b+suEKMwcFgRry8xUVlWqKlhmyUyLY2FeY7Fs2VI01FZj8qTx7aaK2TibjEUKYFILq1oDSDmk+EUK6V00dhgW6oE5SSGtU9qGiuu+WNObLBXde3OxaG9e685ESSFuePGyYYgNONE2R4LOfy1PUVnUcwb44fWrEjEo2LoK3vqDHk3KR0dHY9WqVXj77bdx2WWXYdCgQbDv0Jdt586dxj5HqxTr76oOa6JvIWHDdh5mgGNhXmOR6WOL48dLEeVtHovryfJJE/G2QaRkJqWno/ytIg3Ck8I8ccNZESqQjPV36/M/YgwV3VKEk1Vaqwqz5Byk6v/F2YMxMdwJ3t7634GyheOry1Ow6WiJOu/P/zIaY6M5K2qperza89ixY/jhhx/UL6zZs2efFFgSEVF7Hp6eapvbhoYGtXc4UU/UNDSpLF7bKe28Cv2UtrTgkeDxrnNjWqe0XU20K5Cs35TM5K978nCwpaJ72pBAtT3jO2uPqmKuBbeOw+AgN9XHUop33lh9FEv356u9wOf/KQnnJ/ib1XpB6rkevfpk+vuhhx7CBRdcgP3798O/pY0GERF1zcdbv7VcRXl5a/shos7IGkOpym4bRErVtkx1y5T20BAPXJwYrIJIOaQ62JTKahrVmkhpXr7tWCk0dvqK7numxKrp7MX78lqannvgrWuGq+KbnNIavLbyGBbtL0aAh765+ezhIVwa0t8Cy+nTp2Pr1q1qGvyGG27o3bMiIrIi/v4B6rKcgSV1ILsLtQ0i9+aUo7q+We1bPsDfTa2HlH6NcilZPXNoBC57dK8+XIhf9uZifcse3VLRPW/OEFw4KBBuTvaqUEfWS36y8RguHxmq9u6Wqfp/Lj3S0ovSBo9MHYBr+2EvSmvX7cBSpnH27NmDsLCw3j0jIiIr4+Hpoab3KioqTH0qZOLtK2VKe0+bxuOyo4yQrScleLz9bP3uNcNCPFWAZi4kUJQ1kLJucnnLHt3S4/Kv0wZixpCgdm2Ayluansvj/35RPC4fEYpPNmbgPxsyVBB688RIXDrIE2FBflwDboW6/apdvnx5754JEZGVsrGxhb2DA6qqqkx9KtSHU9rpxTXY06Zn5OH8KtXoXno0ytSwYfcamdKW9j/mtrZQKrrl3CWYXLIvH8XVDYj2c1ENyi8eFoxI35NbAKUVVuOur3ahtKYB7/15BLLLajHtjQ0oq21Ue4ffeW40vF0cOt0rnKyD+fw5RERkxdxcXc1mW0cyPmni3Xb3Gql0NuyDLh1AJHi8cnSYupSqbQczmNLuSlqhVHTnqXWTmaW1qjXRJcODMSsxWG3h2FUAvPZIIR78bi8C3TW4e3Isnlt0UH3+JYnBuPe8WIR7u7R2SiDrxcCSiKgP+Pj64mhaGnRaLWw4/WfR6hubVYNvFUS27KktLXWEr6t+Svvmifrda6R/pCVsPygV3dJnUrKTUtHtLhXdgwPx/OxgjInyPmVhjWQ2P9yQodZUyr9dnh/ZmnHyQD+8dU0SEoJO9Kok68fAkoioDwQHBSMtNRXlFRXw8vIy9elQN0nQJDvAtC2wOZxficZmndrTenCwh9qC0NB4PNTL/Ka0T1XRvexAvgompaLboaWi++7JMTh3oD809rbdWjf695/2qxZDIZ5O6jkaGeGFL28ao7aHpP6HgSURUR+IiY3Fhg3rUVpSwsDSjMnawLaNx/dml6O8Vj+lHeXrogLIy0bKDjZeam9tc57S7ioQXHW4UE1zr2up6B4f44sXVUV3QI+yq5LlvPm/O3C0SL/Ew83RXq2rlEylpQTXZHwMLImI+kBAQID6ZStFC9GmPhlSGpq0OJSnn9I2ZCSPldSo+7xcHDA8VHaviWzNRno6m/+U9qkquqV5+bIDJyq6H5k6EDOGBp3W9o4rDubjoe/2oq5JqyraH546UK3BZC9KYmBJRNQHpK2Ko6Ojmgon00xpZ5XV4/fMPOxpaflzILdCTWnLNoMypX3OQL/WxuPh3s4WnXWTf6/8G6UIR5qUS0W3ZFxl7efFiUGI8nU97YzuI//bi/WpxWonnfvPj8XNE6O7NW1O/QMDSyKiPiJT4MXFxaY+jX5Beinu6VClXVrTqO6L9HFRGUjJsEkQKcUl1hIYSbsftUd3S0W3f0tFt+zWM+QUFd1/pLq+SfWifG9dugrGpTr84xtGwduVW5RSewwsiYj6SEhIKPLy8lBXWwsnZ2dTn45VTWlLQU3btZFScCM8ne2RGOqJa8eEIcbLDuPjQ+DrZtptEI0tv+JERbdUqxsqup+bHYSxUT5nND0tz+13O7Lw9pqjKK1uULc9cH4cbj8n2qIzutR7GFgSEfWRAQMHYOfOHcjPz0dkVJSpT8eCp7Rr22Uj9+dWqgBIprQl+zgpzhd3TY5R2UjJTkoAJL0TZX2rt4vGajKyUtH98+42Fd0D/XDXuTFqj+4z3SZRGrwv2peHN1amqlZKsk+5FOfIft/jY32N9u8g68PAkoioj0RGRqkgR6bDGVh2T2VdI/ZmVyA5U4LIMuzJrlDrBUWYt7MKHqcPCVKXMj1rzftOS0W37NH969481YxcKrrPivY5rYruUwXuUi3+6opUVdgkz2tRVT1CvJzwzrUjEOFz8m47RG0xsCQi6ssCHicnlJWVmfpUzLZ6+UhBVbuekdLKRqeDmt6VKe2rWnavkcOnH6zvk+dkc3qJ6hO57GA+quubVdP1hy8ciIuGnV5Fd1d2HS/Dv5enqAzo6EgvXDMmDN9sz1K9LV+5fJjKWBL9Eb5KiIj6kL+fH3Jycvr9DjySGcspq20XRO7PrUBdo1ZVG0uPyLFR3rh1UhQSw7wQ7esC237Syqa1ontvHpbsy0NRlb6i+6YJZ1bR3ZWUgiq8tiIFKw8Vquf97WuGY8n+PCzYloU7z43BfVNi+81zT2eOgSURUR+Kjo5BZmamylp6+/jA2gOk8notCqubUFjdjILqJmQW1eNgfRwWLi5GWf169TjZrUaqtC8cFKcuh4R4wMmKp7RPVdEt1dzSb/J4ib6i++JhUtEdhKEhHkYvlskuq8Vbq9Lw4+4chHo5q6ykZCrvWbBb7Rf++lWJqs8lUU8wsCQi6kNDhg7FunVrVQGPpQeW0namqEYfNErwKIGj4WN11DSjoVnX+niNnQ18nQBb2GBKlBMuHDVQTW9LANVfGSq6JaCUIiSZbp42JBDPzgrC2Ogzq+juSkl1A95bdxRfbc2Eh5MDnrgoAVeNCsO+nApc+cEWVQj09S1jVW9Pop5iYElE1Ic8PT1hb2+PoqIimHu2sbpBi4KOQaMKJPUfl9Y240TYCHg52cLf1V4dY7yd9R+7yHU79bGHoy1Kiouxdu02TB8yAEkJAeiPDBXd0h5oa8aJiu47zo3BuUao6O5KVX0TPt14DB9vzFDX7zo3FjeOj4Croz3+tzMbT/9yQAX6Uvnt69Z/g306MwwsiYj6mLe3t8kLeKSiuLjmRKBoCCANHxdVN6G26UTYKP3DDUFjmIcDRga3BI6udghwtYevix0craTJeG9VdK85Uqh2wpGK7qaWiu4XZusruj16cbtIacUkRTjvrE1DZV0TrhsXgdvOjlbFT1Ic9MLiQ/jv5uO4alQonpw5yGqaxZNpMLAkIupjUdHR2LZ1KyorKuDu0TvTjTWNJ9Y2nsg4nljrWFLbDG2bdKO7xpBttMPwICcVLBqCRrnd08kWtmyI3SMStG1JL1WZSUNFt6yV7I2K7q7+eJD1mtKLMre8DnOSQnDvlFiEeOmb85fVNOKBb3djS0YpnpqZgGvHhrPpOZ0xBpZERH1s+PDhKrCU6vD40wgstTqdmoZuu56x3ZR1TbOaxjaQZXp+Lvrp6AA3ewwNdGzNPkrgKPc5OzBLZawlBNJ3U4LJxW0quv8yPlJtqxjt59on57DmiPSiTMGR/CqVEf3gupGIC3BrfUxqQRXu/GoXKmqb8NENIzE+hk3PyTgYWBIR9TE/P3+1zrKwsBDxCQkn3V/XpEVRS2axNevYZsq6uKYJTSfiRrg42OgDRFd7DApwxLlt1jbK7d7Odr1SBEInSL9NVdG9Jw/HSmrg76bBzGFBaj/y3qjo7sr2Y6V4dXkKdhwvU+2avrl1LJLCvdo9ZtWhAjz8/V6Eejrj49tHIZxNz8mIGFiayMHcCuSU18Ga6LQ6VFVXwc21CTb8JWZSHAvzH4sS51Acza9C0YFylWFsO01dUX8iapTP8HFpmZJ2scNAX0O28cQ0tauG2UZTVXQvlj269+Zhf06FquieOjgAz8wa1GsV3V2RvdJfW56C1UeKMCjIHR9eP1Jtbdk2oJVM5gfr0/HaylScnxCAly8byqbnZHR8RZnIl1sz8d2ObFOfBhGZjL86NLvLVIAoR6yPBmeFu7RWURuKYqRhOJmHitpGLD2QrzKTWzJK1NjIzjS3nx2NyQN7r6K7K5mlNaoX5c97chHu7YxXrxyGGUOCTmpoXtvQjL//tF+1NpL9xGWtJZueU29gYGkij06Px4MXDIA10Wq1qtLVy8tLbV1HpsOxMP+xqKmtxUcfvIchA2KQODzRpOdIp1Yve3QfKVTB5Jo2Fd3Pzx6Cqb1c0d2V4qp6vLsuHQu2ZcLL2QFPzRyEK0aGdlrRLYU7d3+1S03Xs+k59TYGliaiph8cre8XqE2DA7xdNQxmTIxjYf5jIa1ePJ0dUFhYYNLzo64rqrekl+grug8UqB6QhoruGUMDEejhZJLzqqprwicbM/DxxmOqSv+eybG4YXwEXDSd/zrfebwM9y5Ihqal6fkgNj2nXsbAkojIRMLCw5GWmorGhgY4aDSmPp1+T1V051Tgl925ao/uwqoGRPq4YO74CMxMDEZMH1R0n6oXpeyUIzvmVDc047px4aoXpbdL16+b73Zk4ZlfD2J4mCfevJpNz6lvWFVgGRUVhWPHjrW7bd68eXj00UdNdk5ERF0ZMWIkUlNSkJWVheiYGFOfTr+VXlStMpNtK7qlz6S0BxrWhxXdXWVOf96dgzdXpSGvog6XjwxVWcogT6dT9s986bcj+HzLcVw9Okxt2cim59RXrCqwFM8++yxuvfXW1uvu7u4mPR8ioq5ER0fDzs4Oubm5DCxNUNG9ZF++KnqRim5XRztMGxyIp2cNwrg+rujuKnu66nAhXluRgpSCakwbHIAPbxiFWP9TZ01LaxrwwLd7sC2jFP+4eJBqek7Ul6wusJRAMiiIC5OJyPzJmkt/f3+1b7hO1mJyPWyvqqxvwqqd2fh1b35rRffkgfqK7nMH+sGpjyu6u7ItowT/Xp6CXZnlqkjoxduGIjHM8w8/L0Wann+5S/07P75xlAqQifqa1QWWL730Ep577jlERETg2muvxQMPPKAaEXelvr5eHQYVFRWtC+7loO6T50v+yubzZnocC8sZiyFDhmLlyhUqaxkcEgJrJ8+F4bIvXp9S0b02pUjt0b0upQiNzTqMi/bGs7MGnVTRbeqfl0N5larH5LqUYgwOll6UIzAhxkdNxf/Rua06VIhHftiHMC9nfHzDSIR5O5v839MVvj8ZR9vn73Rilp6OQ3cfZ1WB5X333YeRI0fCx8cHGzduxGOPPaberF999dUuP0fWYD7zzDMn3S7tQZqbm3v5jK2LTqdFZWWVfAQbG2ZeTIljYTljERkVBTc3N+Tn58Pbx/ozTPK+Kv/ehoYGlJaW9s730OqwM6sSyw6XYE1qqdreMj7AGTeO9FW74Rj26G6uq0KpGexTkV1ej/9sysHywyUI83LEczOiMWWAt6r6lt9FpyKBwWfb8tTnnxPrhSenRsEFdSg1h39YF/j+ZByNjY2tH8vrxMHBoVfHobKy0joCSym8efnll0/5mIMHDyIhIQEPPvhg622JiYnQaDS4/fbbVfDo6Nh5NZwEn20/TzKW4eHhquecx2ns4duf6f+asWHvRDPAsbCssZD3quzsbLWHuLVPh1dXVaGqqkr9m729vY32dSXA2pdTgV/35mHxvny1R3eEtzNuHB+JmUODEOXrbHa9XYukF+XadLVZhpeLA56+OAGXjgiBg133zk/f9PwAluzPx93nRqvG55bQ9JzvT8Yhf5wZyHMpP1O9OQ6yHtwqAsuHHnoIc+fOPeVjYrpY9D5u3Dg0NTUhIyMD8fHxnT5GAs7Ogk55kvmC7zmZsuFzZx44FpYzFkOHDsO6dWtRXFKi1lxaM0OFteE5MUZFt9qje28eMopr4CcV3UP1e3QPCz1R0a36iZrJz0RlXSM++v0YPtt0TK3zvO/8OFw/LgLOmu6v8cwpq8XdXyerf7+0Epo2JBCWxFzGwpLZtnnuTve57Mk4dPfrm31gKW+yp/tGm5ycrJ6IgIAAo58XEZGxjB4zBuvXr8OxjAyrDyyNoaCyXr9H955claWUiu6pgwLV7jOyftK+mxm/vibrPVUvyvXpKtt4w1kRuPXsaNUovye2HyvFfQt2w8nBFgtuHYeEIHY/IfNh9oFld23atAlbtmzBlClTVGW4XJfCneuuu86o0y1ERMYmU1heXt7Iy8tjdfgpsnyyA44Ek7IjjrQDOnegP249O0pVdptLRXdXfSV/2p2Lt1anqaBYtl68e3LMae3eY2h6nhTmhTevGa52cCIyJ1YTWMp09oIFC/D000+rKm/pDyeBZdv1k0RE5krWV65Zsxr5BQVsmXZSRXcu1hyRim4txkZ549lLBmPq4MAeZ/r6mqz7XHGwQFV6pxVWq60g/++8OESfxg4+8m9/6bfD+GJLJq4ZE4a/z2DT8/7OwcEBDz70cOvH5sJqAkupBt+8ebOpT4OI6LSnw9euXYOM9PR+HVhKRfdW2aN7bx6WHchHZV0ThgS744Hz41RFt6n26O4pyapKL8rdWeWYGOuLly8bimGhf9yLsqum5//3zW7sOFbGpufUbn1kTwt2+oLVBJZERJZM+u3KenBpO6RtboZtNyswrUFrRfeePCySPbor6xHh46wKWi5ODEKsvxssxYHcChVQbkgtxtAQD3x64yiMj/U97a93JL8Sd36VjOr6Jnxy4yiMZdNzMnMMLImIzMTYcWfhl59/wvHMTERFRcHaZRRLRbe+CEcqun1d9Xt0zxoWpHaaMeUe3T11rLgGb6xKxaK9eYj2c1GV2lMHB5zRv0Gm0R/5fi/CvZ3x2dzRquk5kbljYElEZCYGDRqEJYsXqepwawws65q0SC1txr7GQKxbXYK00t9bK7qfnJmgti8014rurkgxzjtr0lQvSl83DZ6fPRiXJoWc0b9DMrjS31ICVdkjfN6lQ+HqyF/XZBn4SiUiMhPSHk124jmaloa62lo4OVtuhqq8rhlpJQ1IL23A0ZIGpJU2IKeiCbKhoy1CMdLJFq9flYgp8eZd0d2VitpGfLghA59tPgZHe1s8cEEcrhsXccb/lpqGJjy2cD9+25+Pe6fEWkzTcyIDBpZERGZk8uTJSEtNRWpqKoYOGwZzJ9m1/KomFTimlzSqSwkkS2r1W+I629sgyluDEcHOuHywBj421Ti663fMHD8DSUMtr0iprrEZX2w5jg/Wp6O+SYsbz4rELZOi2u05frqypen5V8k4VlKDt66RqXTLanpOJBhYEhGZEX//ALi6uiIzMxNDhgwxq56Wjc06ZFU0tmYiDZc1jZKHBLyd7BDt44DzY1wR46NBjLcGQe72as9rg+KiOhyz0T/ekkgvyoXJOaoXZXFVA64cFYq7Jse27jt+prZnlOLeb5Lh7GCHr28Zy6bnZLEYWBIRmZkRI0Ziw4b1Ju1pWdOgRXqZPvuoDyIbcby8AU2yvTCAEHd7RHtrcMUQz9Yg0tvZ8qa0u5ORlcbsr61MQXpRjWp5JL0oI31djPY9vt2ehWcXHcSIcC+8cTWbnpNlY2BJRGRmzho/Hhs3/o7UlJQ+CSxLappwtLQRR1umseUyt7JJ3Sc9uCO9NIj1ccCFca4qgJSpbRcH88mk9pZNR4tV66C92RWYFOeLf1+RiCEhHkb7+tL0fN6Sw/hya6bqTfn4jHg4WFjxElFHDCyJiMywp2V4eDiOHz9u1CIerU6HvEr9ekhDACmXZXX6NKSrg43KQo4JdVYBpGQiwzwc4GDXv4pHpKfmq8tT8HtaMYaHeapWP2fFGLd/ZEl1A+7/Vt/0/JlZg3DNGDY9J+vAwJKIyAydd/4F+OTjj5CSkoJhiYmntR7yWJkheNRnIzNKG1DbpF/f6Otip4LHaXHu+qlsHwcEutpbVO9IY0svqlYtfpbsy0eMnyvevmY4Lhh0Zr0oO3M4vxJ3tTQ9/3TuKIyJYtNzsh4MLImIzFBgYCA8PDxw7NgxDB069JRFPFWyHrJDFjKzvBHNOkBColAPexU8nhXmieiW9ZCeTta3HvJ05VfUYf6ao/jfzmz4u2nwwpwhmDM8uFd6ai4/kI+//rCPTc/JajGwJCIyU+PHT8DSpb+p4DIqOloVkhTXNLdbCylrI6Xdj9DY2SDSywHxfo64aKC7mtaO8naAkyyUpJOU1zbiP+vT8fmW43Cyt8MjFw5Qax0de6Gvplarwztrj6qq8mlDAvHSpUPgouGvYLI+fFWbyJrDhTiYVwlrIr/0amtr4exc1q+n08wBx8I6xkKn88RebSh27yqDNi1fBZIV9fr1kG4aW5WFHB/uogprJIiU9ZB2bKb9h2obmlUwKUGlFND8ZUIUbp4YCXenM+9F2VXT80d/2IelBwpw33n6puf8uSRrxcDSRDanl6j9ca2KTooDtLC1sdXPv5HpcCysZizqtUHQNTRggFsjLo53V9PYMp3t72LH4KSHmpp1qrXP/LXpqnjm6tFhuPPcGPgbqRdlV03PZT3l8ZIatWbzQjY9JyvHwNJEHp0erw5rotVqUVpaCm9vb7U1HZkOx8J6xqKhoQGvvfpv+Dv7Y1Li2b1yjtZOpqGlIOe1FUeQWVaPixODcP95cQj3MV4vys5syyjBvQt2q32+F9w6FvGBbHpO1o+BJRGRGdNoNIiOjsbRo0dRVVUFNzc3U5+SRfk9tRj/XpGC/TkVGB/lgTeuTsKQUM9e/74LtmXiuUWHMCrSC69fxabn1H8wlUFEZOamTZ+hLg/s32/qU7EYe7LLMffT7bjpvztUUdN/547Cv2cPwKDg3s0ayprNp385gH/8clBNtX90wygGldSvMGNJRGTmPD09ERwcjJycHKM2TLdGR4uq8fqKFFUoMyDAFe9cm4Tz4v1VEZUsSehNsm7z/77ZjZ3Hy/DsJYNVYEnU3zCwJCKyANNnXKQaph88eBAjRo409emYnbzyOry9Jg0/7MpBoLujaudzyfCQ1ip5CSx706E8aXq+C7WNzao/5ego7179fkTmioElEZGFNEz38/NT2zwOGTpUrb0koKymER+sT8cXW47DRWOHv04diD+NCeuVXpRdWXYgH3/7YR8ifVzw+U1jEOrFjDL1XwwsiYgsxPQZM/DF55/j4IEDGJ6UhP5MekN+vvk4/rMhA81aHW6dFKX6Ubo59d2vtbZNz6cPCcQ8Nj0nYmBJRGQpwsLC4ePjg4yMDAwaPLhfZi2lOOa7Hdl4Z00aymobcc2YcNx5TjR83XqvF2VnZJ/vRxfuw7IDBfi/8+Jw57nR7CtKxMCSiMjy1lp+9eUX/S5rqXpR7s/D6ytTkVlai0sSg3HvebEI9+7dXpSdySqVpue71HnM/1MSLhgU0OfnQGSuGFgSEVmQiIgI+Pr6qqxlwqBBcHTs20xdX5Oimw2pxXh1RQoO5FZiykA/vP2nJJM1G9+aXoL7vtE3Pf/m1rEYyKbnRO2wjyURkYW5aObFaG5uxv59+2DNkjPLcMMn23HL5zvh5GCHL28eg/euG2myoPKrrZn4y2c71Pf/3+3jGFQSdYIZSyIiCxMaGoqAgEBVIT548GCr62uZVliF11akYvnBAgwMcMN7fx6ByQP9TLaGsaFJixeWHMKCbVm4flwE/jZ9IBzsmJch6gwDSyIiCzTrkkvw0Yf/wZ49ezB23DhYg9zyOry5KhU/Jucg2NMJL182FLMSg1t7UZqCND2/b8FuJGeV4fnZg3HlKDY9JzoVBpZERBbI399frbeUrGVCQgI8PHt//+veUlrTgPfXpePLrZlwc7TD4zMS1K41GnvTZgUNTc/rGrX4VJqeR7LpOdEfYS6fiMhCXTJ7jpoe3r17NyyRtOx5Z81RXPDaBnyzPQu3nx2N5fefjevPijB5ULl0fz6u+c8WeDo7qPWUDCqJuocZSyIiC+Xm5qbWWO7fvx/5eXkIDAqCJWjW2WBpWg3uXrYB5bWNuHZsOO44JwY+rhqzaGs0f00a3l5zFDOGBmLenKFw1vTdLj5Elo6BJRGRBZtx0UwcOnRIZS0vDAiAja15TkTVNWlxoKAeG4/W4/f6oajeXYU5SSGqF6W5bIEoGVTZmlGKhh44Pw63n8Om50Q9xcCSiMiC2dvbY9KkSVi7di3S0tIQN2AAzIFWp0NGaSN25dZiV24dDhTUoVEL+DjZINi2ArdNjscl5w6FucgsrcFdXyWr5ufvXJuE8xPY9JzodDCwJCKycOMnTMS2bdtw8OBBREZGwsFEWz2W1DQhOa8Ou3LqkJxXi7I6LRztbDAs0AlzR3pjRLAznBvKsG7dMUR4DoG52Hy0BP/37W64O9rj29vGYUCAm6lPichiMbAkIrKS9kPfLFig2g+NGj26T75nfZMW+wvqVUYyObcWGWWN6vY4Hw0ujHVTgWSCvyMc7E5MJxcX2ZjVrj5fbcvEC4sPY0ykN16/OhHeLqZf50lkyRhYEhFZgejoGISEhKj2Q3FxcfD08uqVQEyCx105+unt/S3T274udhgR7IQrh3pieJATPJ3Mv9hFmp4/v/iQqkaXKvRHpw2EPZueE50xBpZERFbissuvwDvz38aOHTtw3vnnG+VrltY2t66TlKxk2+ntG0fI9LYTwj0dLKrIpbiqXu33vTurnE3PiYyMgSURkRW1Hxo9Zgy2btmC9KNHER0Tc9rT28m5dSqgNExvx/pocEHL9PagDtPbluRgbiXuWbBb/Ts/mzsao9ifksioGFgSEVmRyZOnYO+ePdi7dy9CQkPh6OjYventlqzk/vyW6m1n/fT2FUM8kRRsGdPbf2RVSileWJ6BGD9XzL92hNo2koj6aWD5wgsvYNGiRUhOToZGo0FZWdlJj5G1RXfeeSdWr16t/nK/8cYbMW/ePNWOg4ioP7C1tcWll12Or778Art27sRZ48d3Or2d3Dq9XYfSumZo1PS2I25omd6OsLDp7T9qev7mqjS8uy4dFw0NxItsek7Uaywm4mpoaMCVV16J8ePH46OPPjrp/ubmZsycORNBQUHYuHEjcnNzccMNN8DBwQEvvviiSc6ZiMgUZA/x2NhY1dcyLy8P3n4BOFBYr9oAtZ3ejvHW4LxYVxVIDvJ3UsGltalqaXq+8mAB7pgQgvsuHAQ7OwaVROjvgeUzzzyjLj/99NNO71+2bBkOHDiAFStWIDAwEElJSXjuuefwt7/9DU8//bTKcpoTqUSU3mnWRKbUGhoboHHQWE2mw1JxLMyHqcZCp4vH4UZg2ZpiFOrq0dCsn96Wae3LW6a3vaxgevtUMkv0Tc+zy2sx/0/DkRRgz58Hol5mMYHlH9m0aROGDRumgkqDadOmqalx2Ud3xIgRnX5efX29OgwqKirUpVarVUdvqa5rREl1A6yLDk1NTbBXyRC+eZsWx8J8mG4s3HyD0FiYh8l+VZg1Ju6k6W0Jevua4XvKZW++x25Jl6bne+HpZI8FN49BjJ+LWkLVm9+TukfGoLfHn4w/Dt19nNUEljLd0zaoFIbrcl9XZA2mIRvalrwByfR6b5k9yEMd1kSn06Kysgru7m6wsWE/OFPiWJgPU4/F8uU5KCrMgmOdD+qdjN/bsqfkfVXWwMvyptLSUqN/fflF+f2eQryxNhMjw9zx3EUx8HBoRFlZqRoHCfT5M2EePxMcC8sah8rKSvMPLB999FG8/PLLp3yMbFGWkJDQa+fw2GOP4cEHH2yXsQwPD4eXlxc8PKwr8Ott+r9mbNRzJwUEZDocC/Nh6rG45JLZqrdl8q5duHDqVJOvL6yuqkJVVZVanuTt7W30pufPLT6E/+3MwfXjwvHXqQNam56behzoBI6FZY5Dd987TBpYPvTQQ5g7d+4pHxPTzT5sUrSzdevWdrfl5+e33tcVacXRWTsOeZL5gu85mWbjc2ceOBbmw5Rj4eLighkXzcQvP/+kgkvpc2lKhql4w3NizKbn9y7YjT3Z5XhhzhBcMTK00+/NnwnzwLGwvHHo7liZNLD09/dXhzFItbi0JCooKEBAQIC6bfny5SrrOHjwYKN8DyIiSzRkyBDs2Z2MY8eOISwsDEHBwbAmB3IrVJFOY7MW//3LGIyMMP2UP1F/ZTF/KkiPSulhKZeyRkc+lkOmVMTUqVNVAHn99ddj9+7dWLp0KZ544gncfffdf9ggmIjI2l151dWq/dr27dvV+kZrsXhfHv704Vb4uGrwv9vPYlBJZGIWE1g+9dRTqrL7H//4hwom5WM55E3SMPf/66+/qkvJXl533XWqj+Wzzz5r6lMnIjI52SjisssvV0GlbPloDU3PX1uRgge+3YMLEgLw5U1juJMOkRmwmKpw6V/ZVQ9Lg8jISCxevLjPzomIyJJER8dg6LBh2Ld3L1JTUhA3YAAsten5X7/fi1WHC/HQhQNw66Qo9qckMhMWE1gSEdGZu+iimchIz8C+ffvUenQPT09YkuOq6fku5JTX4d1rR2BKvHHW6RNRP5sKJyKiMyeVnbJUyLCxhLYX+/Ua26a0Ylz5/hY0NOnw3W3jGFQSmSEGlkRE/YyXtzemTpuO6urq1nXq5kyann+++Thu/nwnhoR44LvbxyHW383Up0VEneBUOBFRP5SUlISUlCNIS01Vbd+iu9kzuK9J0/NnFx3EdzuyMXd8JB5p0/SciMwPfzqJiPqpyy+/Aq6urqpFm2xja26Kqupx46fb8WNyDuZdOgSPzYhnUElk5vgTSkTUj9dbXn/DjerjTRs3otGM+lvuz6nA5e9tRmZJDT7/yxhcNuLknXSIyPwwsCQi6sdkn+BLZs9GbW0tNm/eDJ3aP9i0Fu/Nw7UfbYWvm6Nqej6CTc+JLAYDSyKifi4hYRBGjByFwsJC1YbI5E3Pv9uDCwYF4KubxyCITc+JLAqLd4iICNOmTUNOTjZSUlJU1Xh4eHiffv+quiY8/P1erDlSiIcvHIBb2PScyCIxY0lERMr1198AJycn7Ni+HWWlpX32fY8V1+Dq/2zBtoxSvHftCNx6djSDSiILxcCSiIha9xOfO/cv6uPff/8d9XV1vf49N0rT8w82o0mrw7e3jcVkNj0nsmgMLImIqJVMg19+xZWor6/H+vXre21nHml6/t/Nx3DL5zsxLNQT397GpudE1oCBJRERtRMbG4spU85DRUVFr1SKN+ts8P7OSryw+DBuPCsC7/95BDydHYz6PYjINBhYEhHRScaddRaGDktEXl4e9uzZY5Sv2azVYV9RE5bUx2N9Zh1evmwo/jadTc+JrAmrwomIqFMXX3wxSktLkJaWBhcXFwwYOPC0vk5OZSNWplVh1dFqFNU0w8vGDv84xxtzkkKMfs5EZFoMLImIqEt//vN1eP+997B37144OzsjrJttiGobtfj9eA1WpFVhf0E9XBxscE6UK8b4NiEzeTsG+kT2+rkTUd9jYElERKfc9vHmW27Bu+/Mx/bt26HRaBAQGNhlQc6BwnoVTG44VoP6Jh0Sg5zw0ERfnBXuAid7WxQXFSGLnYSIrBYDSyIiOiUJJm+6+RZ88P572LRpE84991xVPW5QVN2ElUersfJoFXIrmxDoZo/LBnvg/Bg3BLjx1wxRf8KfeCIi+kPu7u64ce5cfPLxx6oN0YRzJuNAmR2Wp1UhObcOGjsbTIx0wb3jfDEk0BG2bHBO1C8xsDSRN1elYun+fFgTnez129wMWzs78FeKaXEszIe1jUWjw1koLyvDp78WoQF2GOTviHvO8sGkCFe4aFjdTdTfMbA0kTh/N1TFNcGayPqq+rp6ODo5cjs2E+NYmA9rHIuKciccTz2ESJsiDPHyx4iIEXBgUElEDCxN56JhQeqwJlqtFqWlpfD29lYL/sl0OBbmw1rHoqFhBBb+8D3S09NRUFCApKSkbleME5H1sp53OSIi6tOCnquv+ROuvOpqlYndunUrNvbR/uJEZL4YWBIR0Rlt//h/9z+AQYMGqV16li5divSjR019WkRkIgwsiYjojMgU/+w5l+L6G26Eg0aDXbt2Ye2aNaiprjb1qRFRH2NgSURERhEaGop7770PI0aOQklJCZYtW4Yjhw9Dp9Wa+tSIqI8wsCQiIqNmL6dNm6Z263Fzc8O+ffuwatUqVJSXm/rUiKgPMLAkIiKj8/Pzx11334MJEyaioqICK1euxL69e1X7JSKyXmw3REREveacc8/F8KQkfPvtNzhy5AiOHTtm6lMiol7EjCUREfUqT09P3HrrbTj/ggvQ1KTfGMLZ2cnUp0VEvYAZSyIi6hNjxozFkCFDUVRUhIiICFOfDhH1AmYsiYioz7i4uDCoJLJiDCyJiIiIyCgYWBIRERGRUTCwJCIiIiKjYGBJREREREbBwJKIiIiIjIKBJRERERH1r8DyhRdewIQJE1SrCi8vr04fY2Njc9KxYMGCPj9XIiIiov7IYhqkNzQ04Morr8T48ePx0Ucfdfm4Tz75BNOnT2+93lUQSkRERET9NLB85pln1OWnn356ysdJIBkUFNRHZ0VEREREFjcV3l133303/Pz8MHbsWHz88cfQ6XSmPiUiIiKifsFiMpbd8eyzz+K8885T6zCXLVuGu+66C1VVVbjvvvu6/Jz6+np1GFRUVKhLrVarDuo+eb4kkOfzZnocC/PBsTAPHAfzwbGwzHHo7uNMGlg++uijePnll0/5mIMHDyIhIaFbX+/JJ59s/XjEiBGorq7GK6+8csrAct68ea3T7G1lZWXBzc2tW9+X9HQ6LaqqqlFZWQEbG6tLhlsUjoX54FiYB46D+eBYWOY4SKJO/3mnngm20ZlwrriwsBDFxcWnfExMTAw0Gk3rdVljef/996OsrOwPv/6iRYtw8cUXo66uDo6Ojt3KWGZnZ2Pw4ME9+ncQERER9QeZmZkICwszz4ylv7+/OnpLcnIyvL29uwwqhdzX9n7JUsqT5u7urtoVUffJMoLw8HD1/Hl4eJj6dPo1joX54FiYB46D+eBYWOY4SB6ysrISISEh1rHG8vjx4ygpKVGXzc3NKmgUcXFxKhj85ZdfkJ+fj7POOgtOTk5Yvnw5XnzxRTz88MM9+j62tranjMTpj8kLlG8W5oFjYT44FuaB42A+OBaWNw6enp5/+BiLCSyfeuopfPbZZ+3WUIrVq1dj8uTJcHBwwPz58/HAAw+oqFoCzldffRW33nqrCc+aiIiIqP+wmMBS1laeqoelNEVv2xidiIiIiPoWy7HIaGSt6j/+8Y9TrmmlvsGxMB8cC/PAcTAfHAvrHgeTVoUTERERkfVgxpKIiIiIjIKBJREREREZBQNLIiIiIjIKBpZEREREZBQMLOmMZWRk4Oabb0Z0dDScnZ0RGxurKs0aGhraPW7Pnj04++yzVQN76fb/z3/+02TnbM1eeOEFTJgwAS4uLvDy8ur0MbLRwMyZM9VjAgIC8Mgjj6CpqanPz9XaSW/dqKgo9ZofN24ctm7daupTsnrr1q3DrFmz1O4gsnvajz/+2O5+qVeVvsjBwcHq/eqCCy5ASkqKyc7XWs2bNw9jxoxRu9jJe8ycOXNw+PDhdo+R7Zbvvvtu+Pr6qo1OLr/8crXRCRnXu+++i8TExNZG6OPHj8eSJUt6bRwYWNIZO3ToELRaLd5//33s378fr732Gt577z08/vjj7baOmjp1KiIjI7Fjxw688sorePrpp/HBBx+Y9NytkQT0V155Je68885O75edqySolMdt3LhRbTwgPWLlly0ZzzfffIMHH3xQ/ZG1c+dODB8+HNOmTUNBQYGpT82qVVdXq+dagvrOyB+0b775pnqP2rJlC1xdXdW4yC9XMp61a9eqYGXz5s1qJ7zGxkb1O0DGx0A2NJFd87777jv1+JycHFx22WUmPW9rFBYWhpdeekn97t2+fTvOO+88zJ49W/2+7pVxkHZDRMb2z3/+UxcdHd16/Z133tF5e3vr6uvrW2/729/+pouPjzfRGVq/Tz75ROfp6XnS7YsXL9bZ2trq8vLyWm979913dR4eHu3Gh87M2LFjdXfffXfr9ebmZl1ISIhu3rx5Jj2v/kR+xS1cuLD1ular1QUFBeleeeWV1tvKysp0jo6Ouq+//tpEZ9k/FBQUqPFYu3Zt6/Pu4OCg++6771ofc/DgQfWYTZs2mfBM+wdvb2/dhx9+2CvjwIwl9Yry8nL4+Pi0Xt+0aRPOOeccaDSa1tskSyBTI6WlpSY6y/5JxmLYsGEIDAxsNxaSVTb8BUtnRrLBkh2QaVYDW1tbdV2efzKN9PR05OXltRsX2ftYlilwXHr/d4Iw/F6Qnw/JYrYdi4SEBERERHAsepHMWC1YsEBljmVKvDfGgYElGV1qaireeust3H777a23yZt520BGGK7LfdR3OBa9r6ioSL2Bd/Y88zk2HcNzz3HpW7JU6v7778fEiRMxdOhQdZs835Jo6LgOnGPRO/bu3avWT8ouO3fccQcWLlyIwYMH98o4MLCkLj366KNq8fupDllf2VZ2drbas13W+N16660mO3drczpjQURkDmSt5b59+1SmjEwjPj4eycnJal2xrL+/8cYbceDAgV75Xva98lXJKjz00EOYO3fuKR8TExPT+rEs+J0yZYqqSO5YlBMUFHRSlZnhutxHxh2LU5Hnu2N1MsfCuPz8/GBnZ9fpa57PsekYnnsZB6kKN5DrSUlJJjwz63XPPffg119/VdX6UkTSdixkyUhZWVm7bBl/RnqHZCXj4uLUx6NGjcK2bdvwxhtv4Oqrrzb6ODCwpC75+/urozskUylBpbxgP/nkE7WerC1Zy/H3v/9dreVwcHBQt0mloPwV5e3t3Svn31/H4o/IWEhLIqlOljYghrGQNhQyNULGeROXn4WVK1eqNiuG6UC5Lr9oyTSkJZr8spRxMASSsrbYkMUh45HaqXvvvVdNua5Zs0Y9923Jz4f8LpCxkPY2QtbcSys0eY+i3iXvR/X19b0zDkYsMqJ+KisrSxcXF6c7//zz1ce5ubmth4FUngUGBuquv/563b59+3QLFizQubi46N5//32Tnrs1OnbsmG7Xrl26Z555Rufm5qY+lqOyslLd39TUpBs6dKhu6tSpuuTkZN1vv/2m8/f31z322GOmPnWrIq9xqTb+9NNPdQcOHNDddtttOi8vr3bV+GR88jo3vOblV9yrr76qPpafC/HSSy+pcfjpp590e/bs0c2ePVt1sKitrTX1qVuVO++8U3WlWLNmTbvfCTU1Na2PueOOO3QRERG6VatW6bZv364bP368Osi4Hn30UVWNn56erl7zct3Gxka3bNmyXhkHBpZklLY28gbe2dHW7t27dZMmTVK/bENDQ9UbPBnfjTfe2OlYrF69uvUxGRkZuhkzZuicnZ11fn5+uoceekjX2Nho0vO2Rm+99ZZ6w9ZoNKr90ObNm019SlZPXuedvf7l58LQcujJJ59Uf+jKe5H8QXz48GFTn7bV6ep3gvy+MJBg/q677lKtbyTRcOmll7ZLSJBx3HTTTbrIyEj1PiRJBHnNG4LK3hgHG/mfcROsRERERNQfsSqciIiIiIyCgSURERERGQUDSyIiIiIyCgaWRERERGQUDCyJiIiIyCgYWBIRERGRUTCwJCIiIiKjYGBJRNTHoqKiYGNjow7Zo7evyRZ7hu9v2HKSiMgYGFgSEZ1hcNbZMWXKlFN+/rPPPovc3Fx4enqir02YMEF976uuuqrPvzcRWTd7U58AEZElMgRnHf3888+44447cNddd53y893d3REUFART0Gg06ns7Ozujvr7eJOdARNaJGUsiojMIztoepaWlePjhh/H444/jyiuv7NHX+/TTT+Hl5YVff/0V8fHxcHFxwRVXXIGamhp89tlnavrc29sb9913H5qbm1s/T25//vnnccMNN8DNzQ2RkZEquC0sLMTs2bPVbYmJidi+fXsvPAtERO0xsCQiMgJZKymB3OTJk/Hcc8+d1teQIPLNN9/EggUL8Ntvv6np9ksvvRSLFy9Wx+eff473338f//vf/9p93muvvYaJEydi165dmDlzJq6//noVaF533XXYuXMnYmNj1XWdTmekfy0RUec4FU5EdIa0Wi2uvfZa2Nvb48svv1RrLE9HY2Mj3n33XRUICslYSjCZn5+vMo+DBw9WazdXr16Nq6++uvXzLrroItx+++3q46eeekp9jTFjxrRmTf/2t79h/Pjx6uuYavqdiPoHBpZERGdIpr43bdqErVu3qrWTp0umvw1BpQgMDFRT3RJUtr2toKCg3efJVHfb+8WwYcNOuk0+j4ElEfUmBpZERGdApq3/9a9/YdGiRRgwYMAZfS0HB4d21yXz2dltkiHt6vMM2dLObuv4eURExsY1lkREpyk5ORk333wzXnrpJUybNs3Up0NEZHLMWBIRnYaioiLVXFyKdaRIJi8vr939dnZ28Pf3N9n5ERGZAgNLIqLTIFPfx44dU0dwcPBJ90vbn4yMDJOcGxGRqdjo2H+CiKhPSUHO/fffrw5Tmjt3rmqT9OOPP5r0PIjIenCNJRGRCUgLIKn2Li8v7/PvvX79evW9pTUSEZExMWNJRNTHZPpcelaKmJgY2Nr27d/4tbW1yM7OVh9LgMkWRERkLAwsiYiIiMgoOBVOREREREbBwJKIiIiIjIKBJREREREZBQNLIiIiIjIKBpZEREREZBQMLImIiIjIKBhYEhEREZFRMLAkIiIiIqNgYElEREREMIb/B9JLyBFj1Sy4AAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 1000x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lens = optic.Optic()\n",
    "\n",
    "# add surfaces\n",
    "lens.add_surface(index=0, radius=np.inf, thickness=np.inf)\n",
    "\n",
    "# == WE DECENTER THIS SURFACE =====================\n",
    "lens.add_surface(\n",
    "    index=1,\n",
    "    thickness=7,\n",
    "    radius=19.93,\n",
    "    is_stop=True,\n",
    "    material=\"N-SF11\",\n",
    "    dy=1.0,  # 1 mm decenter\n",
    ")\n",
    "# ==================================================\n",
    "\n",
    "lens.add_surface(index=2, thickness=21.48)\n",
    "\n",
    "lens.add_surface(index=3)\n",
    "\n",
    "# add aperture\n",
    "lens.set_aperture(aperture_type=\"EPD\", value=25.4)\n",
    "\n",
    "# add field\n",
    "lens.set_field_type(field_type=\"angle\")\n",
    "lens.add_field(y=0)\n",
    "\n",
    "# add wavelength\n",
    "lens.add_wavelength(value=0.587, is_primary=True)\n",
    "\n",
    "lens.draw(num_rays=10)\n",
    "\n",
    "spot = analysis.SpotDiagram(lens)\n",
    "spot.view()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": ".venv",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.13.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
